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A143724
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Triangle read by rows, inverse Möbius transform of a diagonalized matrix of A116477.
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1
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1, 1, 2, 1, 0, 4, 1, 2, 0, 5, 1, 0, 0, 0, 9, 1, 2, 4, 0, 0, 7, 1, 0, 0, 0, 0, 0, 15, 1, 2, 0, 5, 0, 0, 0, 12, 1, 0, 4, 0, 0, 0, 0, 0, 18, 1, 2, 0, 0, 9, 0, 0, 0, 0, 15, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 1, 2, 4, 5, 0, 7, 0, 0, 0, 0, 0, 16
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OFFSET
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1,3
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COMMENTS
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For n-th row of the triangle, the inverse Möbius transform extracts A116477(k) such that k divides n; 0 otherwise.
Row sums = A006218: (1, 3, 5, 8, 10, 14, 16, ...).
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LINKS
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FORMULA
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EXAMPLE
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First few rows of the triangle:
1;
1, 2;
1, 0, 4;
1, 2, 0, 5;
1, 0, 0, 0, 9;
1, 2, 4, 0, 0, 7;
1, 0, 0, 0, 0, 0, 15;
1, 2, 0, 5, 0, 0, 0, 12;
...
Example: The divisors of 8 are (1, 2, 4, 8) so row 8 = (1, 2, 0, 5, 0, 0, 0, 12).
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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